397 citations
- International Center for Transitional JusticeUS202 papers
- Lyon 1 UniversitéFR166 papers
- Centre National de la Recherche ScientifiqueFR110 papers
- Analyse, Géométrie et ModélisationFR31 papers
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- Laboratoire de Mathématiques Blaise PascalFR10 papers
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4 papers · 2 filters
Sums of the digits in bases 2 and 3
Jean-Marc Deshouillers, Laurent Habsieger, Shanta Laishram +1
Let b 2 be an integer and let s b (n) denote the sum of the digits of the representation of an integer n in base b. For sufficiently large N , one has Card{n N : |s 3 (…
Méthode de Mahler, transcendance et relations linéaires : aspects effectifs
Boris Adamczewski, Colin Faverjon
This note deals with some effective results in Mahler's method. In a recent work, we used a theorem of Philippon to show that given a Mahler function in , wher…
A sum-shuffle formula for zeta values in Tate algebras
Federico Pellarin
We prove a sum-shuffle formula for multiple zeta values in Tate algebras (in positive characteristic), introduced in \cite{PEL3}.This follows from an analog result for double twist…
A numerical note on upper bounds for b 2 [g] sets
Laurent Habsieger, Alain Plagne
Sidon sets are those sets such that the sums of two of its elements never coincide. They go back to the 30s when Sidon asked for the maximal size of a subset of consecutive integer…